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Ebrahimzadeh, Asiyeh. (1405). Analysis and Optimal Control Framework of a Chickenpox Transmission Model with Integrated Vaccination, Isolation-Induced Contact Reduction, Treatment, and Awareness Strategies. فصلنامه علمی زیست فناوری گیاهان زراعی, (), -. doi: 10.30473/coam.2026.76343.1357
Asiyeh Ebrahimzadeh. "Analysis and Optimal Control Framework of a Chickenpox Transmission Model with Integrated Vaccination, Isolation-Induced Contact Reduction, Treatment, and Awareness Strategies". فصلنامه علمی زیست فناوری گیاهان زراعی, , , 1405, -. doi: 10.30473/coam.2026.76343.1357
Ebrahimzadeh, Asiyeh. (1405). 'Analysis and Optimal Control Framework of a Chickenpox Transmission Model with Integrated Vaccination, Isolation-Induced Contact Reduction, Treatment, and Awareness Strategies', فصلنامه علمی زیست فناوری گیاهان زراعی, (), pp. -. doi: 10.30473/coam.2026.76343.1357
Ebrahimzadeh, Asiyeh. Analysis and Optimal Control Framework of a Chickenpox Transmission Model with Integrated Vaccination, Isolation-Induced Contact Reduction, Treatment, and Awareness Strategies. فصلنامه علمی زیست فناوری گیاهان زراعی, 1405; (): -. doi: 10.30473/coam.2026.76343.1357

Analysis and Optimal Control Framework of a Chickenpox Transmission Model with Integrated Vaccination, Isolation-Induced Contact Reduction, Treatment, and Awareness Strategies

Control and Optimization in Applied Mathematics
مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 30 شهریور 1405    اصل مقاله (2.49 M)
نوع مقاله: Research Article
شناسه دیجیتال (DOI): 10.30473/coam.2026.76343.1357
نویسنده
Asiyeh Ebrahimzadeh*
Department of Mathematics Education, Farhangian University, P.O. Box 14665-889, Tehran, Iran
چکیده
This paper presents a chickenpox-inspired mathematical modeling framework for analyzing varicella-like disease transmission dynamics, using a modified compartmental model that incorporates vaccination, isolation-induced contact reduction, treatment efficacy, and public awareness interventions. The objective is to develop an optimal-control framework and compare scenario-based intervention policies aimed at decreasing infection rates while considering economic and public-health constraints. For scenario comparison, the numerical simulations use fixed representative control levels; they do not numerically solve for time-dependent optimal control trajectories. The research applies Pontryagin’s Maximum Principle to formulate a theoretical optimal control framework, including the most critical intervention measures such as vaccination, isolation-induced contact reduction, treatment efficacy, and public awareness. Sensitivity analysis is utilized to examine the impact of model parameters on disease transmission, focusing on the basic reproduction number ℜ0. Numerical computations under various control regimes reveal that an appropriate combination of vaccination, isolation-induced contact reduction, treatment improvement, and public awareness campaigns can effectively reduce infection rates and provide theoretical insights into community-level intervention planning. The findings are highly beneficial for policymakers by supporting the evaluation of epidemic intervention scenarios and resource allocation decisions in public health administration.

تازه های تحقیق
  • A varicella-like SVEIR compartmental model with four integrated intervention controls is proposed.
  • The disease-free equilibrium and basic reproduction number R0 are rigorously derived via the next-generation matrix.
  • Sensitivity analysis identifies the transmission rate and recruitment rate as the most influential parameters.
  • Pontryagin's Maximum Principle yields analytical characterizations of four optimal control functions.
  • Scenario-based simulations show that a combined vaccination, isolation, treatment, and awareness strategy achieves the strongest infection reduction.
کلیدواژه‌ها
Chickenpox (Varicella)؛ Optimal control؛ Vaccination؛ Isolation-induced contact reduction؛ Sensitivity analysis
مراجع

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